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Finding the Fourth Proportional to 410,342.40, 614,113.20 and 343,857.60

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Solution

The fourth proportional to 410,342.40, 614,113.20 and 343,857.60 is: 514,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,342.40 : 614,113.20 = 343,857.60 : x
  2. Step 2: Convert to fraction form
    410,342.40/614,113.20 = 343,857.60/x
  3. Step 3: Cross multiply
    410,342.40x = 614,113.20 × 343,857.60
  4. Step 4: Simplify right side
    410,342.40x = 211,167,491,080.32
  5. Step 5: Solve for x
    x = 211,167,491,080.32/410,342.40
  6. Step 6: Final answer
    x = 514,612.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.